λ
Integer Codex

7,749,391

13 × 37 × 16111
Deficient Odd Composite

For 7,749,391, the 8 positive divisors have a total of 8,571,584. Removing 7,749,391 leaves 822,193, which gives the deficient classification.

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Prime Factor Structure

Factorization String 13 × 37 × 16111
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,571,584
Proper Divisor Sum 822,193
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7749383 ← → #7749403

Radix Representation

Decimal 7749391
Binary 11101100011111100001111 (23 bits)
Octal 0o35437417
Hexadecimal 0x763F0F

Divisor Catalog (5 of 8)

1 13 37 481 16,111

Collatz Trajectory (186 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

7,749,391 23,248,174 11,624,087 34,872,262 17,436,131

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